312512500 has 72 divisors (see below), whose sum is σ = 713954304. Its totient is φ = 119460000.

The previous prime is 312512491. The next prime is 312512503. The reversal of 312512500 is 5215213.

312512500 is a nontrivial binomial coefficient, being equal to C(25001, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312512503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286957 + ... + 288043.

It is an arithmetic number, because the mean of its divisors is an integer number (9916032).

Almost surely, 2^312512500 is an apocalyptic number.

312512500 is the 25000-th triangular number.

312512500 is the 8334-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356977152).

312512500 is an abundant number, since it is smaller than the sum of its proper divisors (401441804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312512500 is a wasteful number, since it uses less digits than its factorization.

312512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 312512500 is about 17678.0230795188. The cubic root of 312512500 is about 678.6134520868.

Adding to 312512500 its reverse (5215213), we get a palindrome (317727713).

It can be divided in two parts, 3125 and 12500, that multiplied together give a square (39062500 = 6250²).

The spelling of 312512500 in words is "three hundred twelve million, five hundred twelve thousand, five hundred".